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Simplifying 4(2d + -4) = 2d + 2 Reorder the terms: 4(-4 + 2d) = 2d + 2 (-4 * 4 + 2d * 4) = 2d + 2 (-16 + 8d) = 2d + 2 Reorder the terms: -16 + 8d = 2 + 2d Solving -16 + 8d = 2 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -16 + 8d + -2d = 2 + 2d + -2d Combine like terms: 8d + -2d = 6d -16 + 6d = 2 + 2d + -2d Combine like terms: 2d + -2d = 0 -16 + 6d = 2 + 0 -16 + 6d = 2 Add '16' to each side of the equation. -16 + 16 + 6d = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 6d = 2 + 16 6d = 2 + 16 Combine like terms: 2 + 16 = 18 6d = 18 Divide each side by '6'. d = 3 Simplifying d = 3
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